Answer:
A. the leading coefficients of f (x) and g (x) are opposites
Step-by-step explanation:
A. the leading coefficients of f (x) and g (x) are opposites
A quadratic function in its generic form is:
f (x) = ax2 + bx + c
g (x) = dx2 + ex + f
The sum of the functions is:
(f + g) (x) = (a + d) x2 + (b + e) x + (c + f)
For the function to be linear necessarily:
a = -d
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Here we go ~
It's been given that :
And magnitude of vector u is 6 units and with a direction 330°
And we are asked to find the magnitude and direction of vector v ~
So, let's get stated ~
As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.
that is :
And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.
So, we can just rotate vector u by 180° to get vector v ~
Conclusion :
- vector v has magnitude of 6 units and direction 150°
Answer:.
18 units^2.
Step-by-step explanation:
First find the length of 2 adjacent sides:
One length ( between the first 2 given points) = √ [ (4-1)^2 + (3-3)^2]
= 3.
The length of the adjacent side = √ [ (1-1)^2 + (3-9)^2 ]
= 6.
So the required area = 3 * 6
= 18.